Applications Of Algebra To Communications Control And Signal Processing

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Applications of Algebra to Communications, Control, and Signal Processing

Nigel Boston
Applications of Algebra to Communications Control and Signal Processing Book PDF

Author : Nigel Boston
Publisher : Springer Science & Business Media
Page : 56 pages
File Size : 41,8 Mb
Release : 2012-04-23
Category : Technology & Engineering
ISBN : 9781461438632

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Applications of Algebra to Communications, Control, and Signal Processing by Nigel Boston Pdf

Over the last 50 years there have been an increasing number of applications of algebraic tools to solve problems in communications, in particular in the fields of error-control codes and cryptography. More recently, broader applications have emerged, requiring quite sophisticated algebra - for example, the Alamouti scheme in MIMO communications is just Hamilton's quaternions in disguise and has spawned the use of PhD-level algebra to produce generalizations. Likewise, in the absence of credible alternatives, the industry has in many cases been forced to adopt elliptic curve cryptography. In addition, algebra has been successfully applied to problems in signal processing such as face recognition, biometrics, control design, and signal design for radar. This book introduces the reader to the algebra they need to appreciate these developments and to various problems solved by these techniques.

Digital Signal Processing

Salvatore Morgera
Digital Signal Processing Book PDF

Author : Salvatore Morgera
Publisher : Elsevier
Page : 254 pages
File Size : 43,8 Mb
Release : 2012-12-02
Category : Technology & Engineering
ISBN : 9780323158930

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Digital Signal Processing by Salvatore Morgera Pdf

Digital Signal Processing: Applications to Communications and Algebraic Coding Theories discusses the design of computationally efficient digital signal processing algorithms over finite fields and the relation of these algorithms to algebraic error-correcting codes. The book provides chapters that cover such topics as signal processing techniques employed for modeling, synthesis, and analysis; systems of bilinear forms; efficient finite field algorithms; the design and study of long length cyclic convolutions and some preliminary results on their relation to linear codes; the study of the algebraic structure of the class of linear codes obtained from bilinear cyclic and aperiodic convolution algorithms over the finite field of interest; and the concept of a generalized hybrid Automatic- Repeat-Request (ARQ) scheme for adaptive error control in digital communication systems. Engineers, mathematicians, and computer scientists will find the text invaluable.

Mathematical Foundations for Signal Processing, Communications, and Networking

Erchin Serpedin,Thomas Chen,Dinesh Rajan
Mathematical Foundations for Signal Processing Communications and Networking Book PDF

Author : Erchin Serpedin,Thomas Chen,Dinesh Rajan
Publisher : CRC Press
Page : 852 pages
File Size : 47,8 Mb
Release : 2017-12-04
Category : Computers
ISBN : 9781439855140

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Mathematical Foundations for Signal Processing, Communications, and Networking by Erchin Serpedin,Thomas Chen,Dinesh Rajan Pdf

Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization. From basic transforms to Monte Carlo simulation to linear programming, the text covers a broad range of mathematical techniques essential to understanding the concepts and results in signal processing, telecommunications, and networking. Along with discussing mathematical theory, each self-contained chapter presents examples that illustrate the use of various mathematical concepts to solve different applications. Each chapter also includes a set of homework exercises and readings for additional study. This text helps readers understand fundamental and advanced results as well as recent research trends in the interrelated fields of signal processing, telecommunications, and networking. It provides all the necessary mathematical background to prepare students for more advanced courses and train specialists working in these areas.

Algebraic Methods for Signal Processing and Communications Coding

Richard E. Blahut
Algebraic Methods for Signal Processing and Communications Coding Book PDF

Author : Richard E. Blahut
Publisher : Springer Science & Business Media
Page : 150 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461228264

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Algebraic Methods for Signal Processing and Communications Coding by Richard E. Blahut Pdf

Algorithms for computation are a central part of both digital signal pro cessing and decoders for error-control codes and the central algorithms of the two subjects share many similarities. Each subject makes extensive use of the discrete Fourier transform, of convolutions, and of algorithms for the inversion of Toeplitz systems of equations. Digital signal processing is now an established subject in its own right; it no longer needs to be viewed as a digitized version of analog signal process ing. Algebraic structures are becoming more important to its development. Many of the techniques of digital signal processing are valid in any algebraic field, although in most cases at least part of the problem will naturally lie either in the real field or the complex field because that is where the data originate. In other cases the choice of field for computations may be up to the algorithm designer, who usually chooses the real field or the complex field because of familiarity with it or because it is suitable for the particular application. Still, it is appropriate to catalog the many algebraic fields in a way that is accessible to students of digital signal processing, in hopes of stimulating new applications to engineering tasks.

Communications, Computation, Control, and Signal Processing

Arogyaswami Paulraj,Vwani Roychowdhury,Charles D. Schaper
Communications Computation Control and Signal Processing Book PDF

Author : Arogyaswami Paulraj,Vwani Roychowdhury,Charles D. Schaper
Publisher : Springer Science & Business Media
Page : 572 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461562818

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Communications, Computation, Control, and Signal Processing by Arogyaswami Paulraj,Vwani Roychowdhury,Charles D. Schaper Pdf

A. Paulraj*, V. Roychowdhury**, and C. Schaper* * Dept. of Electrical Engineering, Stanford University ** Dept. of Electrical Engineering, UCLA Innumerable conferences are held around the world on the subjects of commu nications, computation, control and signal processing, and on their numerous subdisciplines. Therefore one might not envision a coherent conference encom passing all these areas. However, such an event did take place June 22-26, 1995, at an international symposium held at Stanford University to celebrate Professor Thomas Kailath's sixtieth birthday and to honor the notable con tributions made by him and his students and associates. The depth of these contributions was evident from the participation of so many leading figures in each of these fields. Over the five days of the meeting, there were about 200 at tendees, from eighteen countries, more than twenty government and industrial organizations, and various engineering, mathematics and statistics faculties at nearly 50 different academic institutions. They came not only to celebrate but also to learn and to ponder the threads and the connections that Professor Kailath has discovered and woven among so many apparently disparate areas. The organizers received many comments about the richness of the occasion. A distinguished academic wrote of the conference being "the single most rewarding professional event of my life. " The program is summarized in Table 1. 1; a letter of reflections by Dr. C. Rohrs appears a little later.

Data Science and Security

Samiksha Shukla,Xiao-Zhi Gao,Joseph Varghese Kureethara,Durgesh Mishra
Data Science and Security Book PDF

Author : Samiksha Shukla,Xiao-Zhi Gao,Joseph Varghese Kureethara,Durgesh Mishra
Publisher : Springer Nature
Page : 505 pages
File Size : 47,7 Mb
Release : 2022-07-01
Category : Technology & Engineering
ISBN : 9789811922114

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Data Science and Security by Samiksha Shukla,Xiao-Zhi Gao,Joseph Varghese Kureethara,Durgesh Mishra Pdf

This book presents best selected papers presented at the International Conference on Data Science for Computational Security (IDSCS 2022), organized by the Department of Data Science, CHRIST (Deemed to be University), Pune Lavasa Campus, India, during 11 – 12 February 2022. The book proposes new technologies and discusses future solutions and applications of data science, data analytics and security. The book targets current research works in the areas of data science, data security, data analytics, artificial intelligence, machine learning, computer vision, algorithms design, computer networking, data mining, big data, text mining, knowledge representation, soft computing and cloud computing.

Group Theory, Combinatorics, and Computing

Robert Fitzgerald Morse, Daniela Nikolova-Popova,Sarah Witherspoon
Group Theory Combinatorics and Computing Book PDF

Author : Robert Fitzgerald Morse, Daniela Nikolova-Popova,Sarah Witherspoon
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 48,5 Mb
Release : 2014-02-13
Category : Mathematics
ISBN : 9780821894354

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Group Theory, Combinatorics, and Computing by Robert Fitzgerald Morse, Daniela Nikolova-Popova,Sarah Witherspoon Pdf

This volume contains the proceedings of the International Conference on Group Theory, Combinatorics and Computing held from October 3-8, 2012, in Boca Raton, Florida. The papers cover a number of areas in group theory and combinatorics. Topics include finite simple groups, groups acting on structured sets, varieties of algebras, classification of groups generated by 3-state automata over a 2-letter alphabet, new methods for construction of codes and designs, groups with constraints on the derived subgroups of its subgroups, graphs related to conjugacy classes in groups, and lexicographical configurations. Application of computer algebra programs is incorporated in several of the papers. This volume includes expository articles on finite coverings of loops, semigroups and groups, and on the application of algebraic structures in the theory of communications. This volume is a valuable resource for researchers and graduate students working in group theory and combinatorics. The articles provide excellent examples of the interplay between the two areas.

Numerical Linear Algebra in Signals, Systems and Control

Paul Van Dooren,Shankar P. Bhattacharyya,Raymond H. Chan,Vadim Olshevsky,Aurobinda Routray
Numerical Linear Algebra in Signals Systems and Control Book PDF

Author : Paul Van Dooren,Shankar P. Bhattacharyya,Raymond H. Chan,Vadim Olshevsky,Aurobinda Routray
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 45,9 Mb
Release : 2011-05-21
Category : Technology & Engineering
ISBN : 9789400706026

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Numerical Linear Algebra in Signals, Systems and Control by Paul Van Dooren,Shankar P. Bhattacharyya,Raymond H. Chan,Vadim Olshevsky,Aurobinda Routray Pdf

The purpose of Numerical Linear Algebra in Signals, Systems and Control is to present an interdisciplinary book, blending linear and numerical linear algebra with three major areas of electrical engineering: Signal and Image Processing, and Control Systems and Circuit Theory. Numerical Linear Algebra in Signals, Systems and Control will contain articles, both the state-of-the-art surveys and technical papers, on theory, computations, and applications addressing significant new developments in these areas. The goal of the volume is to provide authoritative and accessible accounts of the fast-paced developments in computational mathematics, scientific computing, and computational engineering methods, applications, and algorithms. The state-of-the-art surveys will benefit, in particular, beginning researchers, graduate students, and those contemplating to start a new direction of research in these areas. A more general goal is to foster effective communications and exchange of information between various scientific and engineering communities with mutual interests in concepts, computations, and workable, reliable practices.

Advances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics

Chang-Hee Won,Cheryl B. Schrader,Anthony N. Michel
Advances in Statistical Control Algebraic Systems Theory and Dynamic Systems Characteristics Book PDF

Author : Chang-Hee Won,Cheryl B. Schrader,Anthony N. Michel
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 50,8 Mb
Release : 2008-10-06
Category : Mathematics
ISBN : 0817647945

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Advances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics by Chang-Hee Won,Cheryl B. Schrader,Anthony N. Michel Pdf

This volume is a collection of chapters covering recent advances in stochastic optimal control theory and algebraic systems theory. The book will be a useful reference for researchers and graduate students in systems and control, algebraic systems theory, and applied mathematics. Requiring only knowledge of undergraduate-level control and systems theory, the work may be used as a supplementary textbook in a graduate course on optimal control or algebraic systems theory.

Random Processes with Applications to Circuits and Communications

Bernard C. Levy
Random Processes with Applications to Circuits and Communications Book PDF

Author : Bernard C. Levy
Publisher : Springer Nature
Page : 464 pages
File Size : 47,6 Mb
Release : 2019-09-14
Category : Technology & Engineering
ISBN : 9783030222970

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Random Processes with Applications to Circuits and Communications by Bernard C. Levy Pdf

This textbook is based on 20 years of teaching a graduate-level course in random processes to a constituency extending beyond signal processing, communications, control, and networking, and including in particular circuits, RF and optics graduate students. In order to accommodate today’s circuits students’ needs to understand noise modeling, while covering classical material on Brownian motion, Poisson processes, and power spectral densities, the author has inserted discussions of thermal noise, shot noise, quantization noise and oscillator phase noise. At the same time, techniques used to analyze modulated communications and radar signals, such as the baseband representation of bandpass random signals, or the computation of power spectral densities of a wide variety of modulated signals, are presented. This book also emphasizes modeling skills, primarily through the inclusion of long problems at the end of each chapter, where starting from a description of the operation of a system, a model is constructed and then analyzed. Provides semester-length coverage of random processes, applicable to the analysis of electrical and computer engineering systems; Designed to be accessible to students with varying backgrounds in undergraduate mathematics and engineering; Includes solved examples throughout the discussion, as well as extensive problem sets at the end of every chapter; Develops and reinforces student’s modeling skills, with inclusion of modeling problems in every chapter; Solutions for instructors included.

Gröbner Bases in Control Theory and Signal Processing

Hyungju Park,Georg Regensburger
Gr bner Bases in Control Theory and Signal Processing Book PDF

Author : Hyungju Park,Georg Regensburger
Publisher : Walter de Gruyter
Page : 261 pages
File Size : 46,8 Mb
Release : 2011-12-22
Category : Mathematics
ISBN : 9783110909746

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Gröbner Bases in Control Theory and Signal Processing by Hyungju Park,Georg Regensburger Pdf

This volume contains survey and original articles presenting the state of the art on the application of Gröbner bases in control theory and signal processing. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods at the Johann Radon Institute of Computational and Applied Mathematics (RICAM), Linz, Austria, in May 2006.

Random Signals and Noise

Shlomo Engelberg
Random Signals and Noise Book PDF

Author : Shlomo Engelberg
Publisher : CRC Press
Page : 216 pages
File Size : 44,9 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9781420007770

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Random Signals and Noise by Shlomo Engelberg Pdf

Understanding the nature of random signals and noise is critically important for detecting signals and for reducing and minimizing the effects of noise in applications such as communications and control systems. Outlining a variety of techniques and explaining when and how to use them, Random Signals and Noise: A Mathematical Introduction focuses on applications and practical problem solving rather than probability theory. A Firm Foundation Before launching into the particulars of random signals and noise, the author outlines the elements of probability that are used throughout the book and includes an appendix on the relevant aspects of linear algebra. He offers a careful treatment of Lagrange multipliers and the Fourier transform, as well as the basics of stochastic processes, estimation, matched filtering, the Wiener-Khinchin theorem and its applications, the Schottky and Nyquist formulas, and physical sources of noise. Practical Tools for Modern Problems Along with these traditional topics, the book includes a chapter devoted to spread spectrum techniques. It also demonstrates the use of MATLAB® for solving complicated problems in a short amount of time while still building a sound knowledge of the underlying principles. A self-contained primer for solving real problems, Random Signals and Noise presents a complete set of tools and offers guidance on their effective application.

Open Problems in Mathematical Systems and Control Theory

Vincent D. Blondel,Eduardo D. Sontag,Mathukumalli Vidyasagar,Jan C. Willems
Open Problems in Mathematical Systems and Control Theory Book PDF

Author : Vincent D. Blondel,Eduardo D. Sontag,Mathukumalli Vidyasagar,Jan C. Willems
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447108078

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Open Problems in Mathematical Systems and Control Theory by Vincent D. Blondel,Eduardo D. Sontag,Mathukumalli Vidyasagar,Jan C. Willems Pdf

System and Control theory is one of the most exciting areas of contemporary engineering mathematics. From the analysis of Watt's steam engine governor - which enabled the Industrial Revolution - to the design of controllers for consumer items, chemical plants and modern aircraft, the area has always drawn from a broad range of tools. It has provided many challenges and possibilities for interaction between engineering and established areas of 'pure' and 'applied' mathematics. This impressive volume collects a discussion of more than fifty open problems which touch upon a variety of subfields, including: chaotic observers, nonlinear local controlability, discrete event and hybrid systems, neural network learning, matrix inequalities, Lyapunov exponents, and many other issues. Proposed and explained by leading researchers, they are offered with the intention of generating further work, as well as inspiration for many other similar problems which may naturally arise from them. With extensive references, this book will be a useful reference source - as well as an excellent addendum to the textbooks in the area.

Advances in Communication Control Networks

Sophie Tarbouriech,Chaouki T. Abdallah,John Chiasson
Advances in Communication Control Networks Book PDF

Author : Sophie Tarbouriech,Chaouki T. Abdallah,John Chiasson
Publisher : Springer Science & Business Media
Page : 366 pages
File Size : 53,6 Mb
Release : 2004-09-22
Category : Business & Economics
ISBN : 3540228195

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Advances in Communication Control Networks by Sophie Tarbouriech,Chaouki T. Abdallah,John Chiasson Pdf

The area of communication and computer networks has become a very active field of research by the control systems community in the last years. Tools from convex optimization and control theory are playing increasing roles in efficient network utilization, fair resource allocation, and communication delay accommodation and the field of Networked Control systems is fast becoming a mainstay of control systems research and applications. This carefully edited book brings together solicited contributions from experts in the various areas of communication/control networks referring to both networks under control (control in networks) as well as networked control systems (control over networks). The aim of this book is to reverse the trend of fragmentation and specialization in Communication Control Networks connecting various interdisciplinary research fields including control, communication, applied mathematics and computer science.

Advances in Communications and Signal Processing

William A. Porter,Subhash C. Kak
Advances in Communications and Signal Processing Book PDF

Author : William A. Porter,Subhash C. Kak
Publisher : Springer
Page : 379 pages
File Size : 54,6 Mb
Release : 2014-03-12
Category : Technology & Engineering
ISBN : 3662180952

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Advances in Communications and Signal Processing by William A. Porter,Subhash C. Kak Pdf

This international conference on "Advances in Communications and Control Systems" was held to bring together researchers in communications, control systems, computing and signal processing to explore common themes and present research results of broad interest. The focus of the conference was on presenting research results in a fashion that would make them accessible to groups wider than that of the narrow specialist. Many papers, therefore, are of a type that might be termed survey/research. The topics include control theory, communication detection, high speed computing, distributed parameter systems, nonlinear systems, stochastic optimization, source coding, robust control and applications, and neural networks. Selected papers from the conference are presented both in this book and in its companion volume Advances in Computing and Control.